Solve f 4x sin(x) dx using Integration by Parts. Use u = 4x and v' = sin(x).

Q: a.y=k√√x-z² k√√x b.y=2² c. y = k₁√/xz² d. y = k + √√xz² represent

A: we will find the required.

Q: 1 f 11 - 1² di 2 dt -1

A: Evaluate the integral

Q: 10y=10sin(pi(x-5))+40 Find horizontal shift

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Q: 1. A man invests $10,000 in an account that pays 8.5% interest per year, compounded quarterly. What…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: a Evaluate the indefinite integrals the method of substitution using dx d) S e) 3 -x ³ 3+xx 1) 40…

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Q: f(sin³xcosx + sin²xcos³x) dx hint: find gcf (-3 2-

A: sin2x+cos2x=1dsinx dx=cosx∫sinxdx=-cosx+c∫xndx=xn+1n+1+c

Q: Evaluate the definite integrals = Jo Vt dt = a) 16 1 b) ₁²0 + /2d² = dz C) 125 dx =

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Q: When an object is dropped on a certain earth-like planet, the distance it falls in t​ seconds,…

A: Motion: Recall that the velocity is the time derivative of the position, and the acceleration is the…

Q: Describe the domain of the function f(x)=√(15x^2+x-2).

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Q: Find the gradient Vf of the function f given the differential. df = (3x² - 1) ye dx + x³e dy

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Q: Let P(t) be the population of bacteria in a glass dish, in millions after t hours. suppose we have…

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Q: (a) Compute 83 of ∞ (c) Use n = 3 and n=1 2 9n6 (b) Estimate the error in using $3 as an…

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Q: 2. Find the exact value of sin TT 12, π 2 6 using a half-angle identity. Use=1/ 12

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Q: Find an equation for the line that is tangent to the curve y=5x3−5x at the point (-1,0).

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Q: Find the average value of the function f(x) = 0.8 on the interval 0 ≤ x ≤ 4 e Express your answer in…

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Q: of an object is given by The displacement = √ ¹ - 7t² + tdt t4 Eveluates for a = 3.85 and b = 9 Give…

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Q: Solve the initial-value problem y" +8y' + 7y=10e ²* y(0) = −2 y'(0) = 10

A: NOTE: Refresh your page if you can't see any equations. . the homogeneous system is  write the…

Q: Use the power series 1 1 + x (-1)^x, x < 1 n = 0 to find a power series for the function, centered…

A: Here we have to find the power series of the given function f(x) = ln(x8+1) and also determine the…

Q: b a C = 60° b C Note: Triangle may not be drawn to scale. Suppose a = 8 Find b and c. 30°

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Q: The figure shows a graph of r as a function of in Cartesian coordinates. Use it to sketch the…

A: The graph of the function in Cartesian coordinates is given as , Sketch the polar curve.

Q: a. Write the series using sigma notation: 1 1 1 1 3 27 81 1 + 1 9 + -= n=0 b. The sum of a series is…

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Q: Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation…

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Q: Find the dimensions of a rectangle (in m) with perimeter 68 m whose area is as large as possible.…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: 38. 1 50 So (3t - 1) 5⁰ dt

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Q: 3. y = C₁ + C₂ e-4x

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Q: I Evaluate Answer: sin(10x) cos(10x) dx.

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Q: The cost function for a certain commodity is C(q) = 86 +0.14q-0.008q² + 0.00049³. (a) Find C'(100).…

A: the cost function for a certain commodity is C(q) = 86 + 0.14q - 0.008q2 + 0.0004q3C'(q) = ddqC(q)

Q: The demand function for a product is given by p(n) = 510 - 0.18n², where p is the price in dollars…

A: Given that the demand functions for a product is given by p(n)=510-0.18n2, where p is the price in…

Q: with initial values y(0) = 1 and y' (0) = -10. A. Write the characteristic equation for the…

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Q: Evaluate the following:' d/dx of x of upper intgral and 2 lower integral of (4t^2 + 5t^3) dt

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Q: Find the equation of the line that is perpendicular to x + 3y = -2 and that passes through (-5,-3).…

A: Given query is to find the equation of the perpendicular line.

Q: dy Use implicit differentiation to determine given the equation x³ + y² = 7. dr dy dr ||

A: Given equation:- x5+y5=7

Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

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Q: rol A specific radioactive substance follows a continuous exponential decay model. It has a…

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Q: Question 10 Solve the differential equation. y' + y tan x = cos X, -π/2<x</2 (A) y=xsin x + c sin x,…

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Q: 2. Solving differentiable equation a) Find fex) that satisfies the t specified conditions. X8 -…

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Q: 1. Find the most general antideriva_ tive of the follouting function. a) h(x) = 8x² + x√x+e-x² b)…

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Q: Find the area under the graph of g over [-2,3]. (-x² +5, for x ≤ 0, x + 5, for x > 0 3. g(x) = 4.…

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is  so the lower…

Q: (4) By computing coefficients cn with center a = 0 establish that In(x + 1) = x − ² + ³ −²+.…... 2 3…

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Q: Page 3 of 10 Question 3 Solve the differential equation. 2x dy + y dx = 9x5 dx y=2x11/2+c/x ⑥ y =…

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Q: QUESTION 18 Evaluate the following complex number and write the imaginary part of the resulting…

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Q: (1 point) Find the curvature (t) of the curve r(t) = (4 sin t)i + (4 sin t)j + (5 cost) k

A: we will find the required solution.

Q: Find given that y=[atan-¹(bx)]². dy dx Assume a,b ER. 2[atan-¹(bx)] O 2[atan-¹(bx)]- O 2b[asec²(bx)]…

A: To find dydx given that y=a tan-1bx2.Assume a, b∈ℝ

Q: Calculate Vv and V x v. a) OV-v=-2x²yz and V × v = 0 b) OV v = 2yz + 3 and V x v = -2xi+ 2xyj +…

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Q: X SI+√x² 1 + √x 2 x³x² + 2z-2(x + 1) + C - - a. dx 1 1 1 x2 + x2 x + 1 + C 2x² C. 3 x2 + x2 + 2x - 2…

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Q: The half-life of a certain radioactive substance is 30 years. Assume we have 10 grams of the…

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Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F =…

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Q: d Find (4 ln(x)) dx

A: Given; d(4ln(x)/dx

Q: f(x, y) = (6x-x²) (6y - y²). Find and classify all critical points of the function. If there are…

A: Let's find critical points, saddle points, local minimum and local maximum.

Q: In each part, find a formula for the general term of the sequence, starting with n = = 1. Enter the…

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